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Finding the Fourth Proportional to 207,855.10, 311,874.45 and 101,179.90

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Solution

The fourth proportional to 207,855.10, 311,874.45 and 101,179.90 is: 151,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,855.10 : 311,874.45 = 101,179.90 : x
  2. Step 2: Convert to fraction form
    207,855.10/311,874.45 = 101,179.90/x
  3. Step 3: Cross multiply
    207,855.10x = 311,874.45 × 101,179.90
  4. Step 4: Simplify right side
    207,855.10x = 31,555,425,663.56
  5. Step 5: Solve for x
    x = 31,555,425,663.56/207,855.10
  6. Step 6: Final answer
    x = 151,814.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.